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131755076160 = 2635137244871
BaseRepresentation
bin111101010110100110…
…1101110101001000000
3110121002020102100111120
41322231031232221000
54124313244414120
6140305532312240
712343004445321
oct1725515565100
9417066370446
10131755076160
115097133a8a4
1221650612680
13c569695b36
14653c60a448
153661e96140
hex1ead36ea40

131755076160 has 56 divisors (see below), whose sum is σ = 418322369856. Its totient is φ = 35134686720.

The previous prime is 131755076153. The next prime is 131755076197. The reversal of 131755076160 is 61670557131.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 68621476 + ... + 68623395.

Almost surely, 2131755076160 is an apocalyptic number.

131755076160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131755076160 is an abundant number, since it is smaller than the sum of its proper divisors (286567293696).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

131755076160 is a wasteful number, since it uses less digits than its factorization.

131755076160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 137244891 (or 137244881 counting only the distinct ones).

The product of its (nonzero) digits is 132300, while the sum is 42.

The spelling of 131755076160 in words is "one hundred thirty-one billion, seven hundred fifty-five million, seventy-six thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 160 192 240 320 480 960 137244871 274489742 411734613 548979484 686224355 823469226 1097958968 1372448710 1646938452 2058673065 2195917936 2744897420 3293876904 4117346130 4391835872 5489794840 6587753808 8234692260 8783671744 10979589680 13175507616 16469384520 21959179360 26351015232 32938769040 43918358720 65877538080 131755076160